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ZC-Circuits of Goldberg–Coxeter Construction

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Geometric Structure of Chemistry-Relevant Graphs

Abstract

In this chapter, \(ZC\)-(zigzag or central circuit) structure will be mainly described using groups. But first, Propositions 7.1 and 7.2 below treat the easiest case: \(ZC\)-structure of the \(k\)-inflation \(GC_{k,0}(G_0)\) of \(G_0\) in terms of \(ZC\)-structure of \(G_0\); see example in Fig. 7.5.

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Correspondence to Michel-Marie Deza .

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Deza, MM., Dutour Sikirić, M., Shtogrin, M.I. (2015). ZC-Circuits of Goldberg–Coxeter Construction. In: Geometric Structure of Chemistry-Relevant Graphs. Forum for Interdisciplinary Mathematics, vol 1. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2449-5_7

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